Q: A projectile is launched at an angle of $$30^\circ$$ above the horizontal with a speed of $$20\ \mathrm{m/s}. $$What is the initial vertical component of its velocity?

$$10\ \mathrm{m/s} ($$since $$v_{0y} = v_0$ \sin\theta = 20 \sin 30^\circ = 10)$$

Question 1

A car accelerates uniformly from rest to a speed of $$20\ \mathrm{m/s} in$$ $$5\ \mathrm{s}. $$What is the magnitude of its acceleration?

Accepted Answer

$$2\ \mathrm{m/s^2$}$$

Question 2

Which of the following best describes the difference between average velocity and instantaneous velocity?

Accepted Answer

Average velocity is the total displacement divided by total time, while instantaneous velocity is the velocity at a specific instant.

Question 3

A ball is thrown straight up with an initial velocity of $$15\ \mathrm{m/s}. $$Neglecting air resistance, what is the maximum height it reaches? (Use $$g = 9.8\ \mathrm{m/s^2$}.)$$

Accepted Answer

$$11.5\ \mathrm{m}$$

Question 4

Which of the following is the correct SI unit for acceleration?

Accepted Answer

$$\mathrm{m/s^2$}$$

Question 5

A vector has components $$A_x = 3$$ and $$A_y = 4. $$What is the magnitude of the vector?

Accepted Answer

$$5$$

Question 6

A projectile is launched at an angle of $$30^\circ$$ above the horizontal with a speed of $$20\ \mathrm{m/s}. $$What is the initial vertical component of its velocity?

Accepted Answer

$$10\ \mathrm{m/s} ($$since $$v_{0y} = v_0$ \sin	heta = 20 \sin 30^\circ = 10)$$

Question 7

Which of the following statements about significant figures is correct?

Accepted Answer

When adding or subtracting, the answer should have the same number of decimal places as the measurement with the fewest decimal places.

Question 8

A train moves at $$30\ \mathrm{m/s}$$ relative to the ground. A passenger walks forward at $$2\ \mathrm{m/s}$$ relative to the train. What is the passenger's speed relative to the ground?

Accepted Answer

$$32\ \mathrm{m/s}$$

Question 9

Which of the following best describes dimensional analysis?

Accepted Answer

A technique to check the consistency of units in equations and to find the dimensions of unknown quantities.

Question 10

A car travels $$100\ \mathrm{km}$$ north, then $$100\ \mathrm{km}$$ east. What is the magnitude of its displacement from the starting point?

Accepted Answer

$$141\ \mathrm{km}$$

Question 11

If the radius of a circle is doubled, by what factor does its area increase?

Accepted Answer

It increases by a factor of 4.

Question 12

A student measures the length of a table as $$2.00\ \mathrm{m}$$ and the width as $$1.0\ \mathrm{m}. $$What is the area, reported with the correct number of significant figures?

Accepted Answer

$$2.0\ \mathrm{m^2$}$$

Question 13

A runner accelerates from $$5\ \mathrm{m/s} to$$ $$9\ \mathrm{m/s} in$$ $$2\ \mathrm{s}. $$What is the average acceleration?

Accepted Answer

$$2\ \mathrm{m/s^2$}$$

Question 14

Which of the following is a correct statement about vectors?

Accepted Answer

Vectors can be added graphically using the tip-to-tail method.

Question 15

A stone is dropped from rest from a cliff and takes $$4\ \mathrm{s} to $$reach the ground. What is the height of the cliff? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$}.)$$

Accepted Answer

$$78.4\ \mathrm{m}$$

Question 16

Which of the following is NOT a scalar quantity?

Accepted Answer

Displacement

Question 17

A cyclist moves with a constant velocity of $$12\ \mathrm{m/s}$$ for $$10\ \mathrm{s}. $$What is the total displacement?

Accepted Answer

$$120\ \mathrm{m}$$

Question 18

A ball is thrown horizontally from a $$20\ \mathrm{m}$$ high cliff with a speed of $$5\ \mathrm{m/s}. $$How far from the base of the cliff does the ball land? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$}.)$$

Accepted Answer

$$10.1\ \mathrm{m}$$

Question 19

Which of the following best describes the Galilean transformation of velocities?

Accepted Answer

It relates the velocities of objects in different inertial frames by simple addition or subtraction.

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